Pith Number

pith:3EB3ALT2

pith:2026:3EB3ALT2YMAW4XGD7U52UIY7RF

not attested not anchored not stored refs pending

Towards the Lov\'{a}sz conjecture via sublinear expanders

Alexey Pokrovskiy, Matija Buci\'c, Micha Christoph, Raphael Steiner

arxiv:2606.09742 v1 · 2026-06-08 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3EB3ALT2YMAW4XGD7U52UIY7RF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-09T02:09:07.157727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d903b02e7ac3016e5cc3fd3baa231f896ad65cc15fe50cbb22bc3bb8a77eec08

Aliases

arxiv: 2606.09742 · arxiv_version: 2606.09742v1 · doi: 10.48550/arxiv.2606.09742 · pith_short_12: 3EB3ALT2YMAW · pith_short_16: 3EB3ALT2YMAW4XGD · pith_short_8: 3EB3ALT2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3EB3ALT2YMAW4XGD7U52UIY7RF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d903b02e7ac3016e5cc3fd3baa231f896ad65cc15fe50cbb22bc3bb8a77eec08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "239f8e51d03dc6fe677a7789039eec78e11e35b5299c43607800e06e7c6fb11e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-08T17:05:22Z",
    "title_canon_sha256": "a30a01a59ad5f9b284b095d728b4713e0e7ef974d6a92623230346ca7411436e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09742",
    "kind": "arxiv",
    "version": 1
  }
}